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21. Erosion Waves: When a Model Experiment Meets a Theory.

Author

Schadschneider, Andreas, Pöschel, Thorsten, Kühne, Reinhart, Schreckenberg, Michael, Wolf, Dietrich E., Clement, Eric, Malloggi, Florent, Andreotti, Bruno, and Aranson, Igor S.

Abstract

We present recent results on two laboratory scale avalanches experiments taking place both in the air and under-water. In both cases, a family of solitary erosion/deposition waves are triggered. At higher inclination angles, we show the existence of a linear long wavelength transverse instability followed by a coarsening dynamics and finally, the onset of a fingering pattern. Both experiments strongly differ by the spatial and time scales involved, nevertheless, the quantitative agreement between the stability diagram, the wavelengths selection and the avalanche morphology suggest a common erosion/deposition scenario. These experiments are studied theoretically in the framework of the "partial fluidization" model that was developed earlier to describe dense granular flows. This model identifies a family of propagating solitary waves displaying a behavior similar to the experimental observation. A primary cause for the transverse instability is directly related to the dependence of the solitary wave velocity on the granular mass trapped in the avalanche, a results recovered experimentally. [ABSTRACT FROM AUTHOR]

Published
2007
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